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Yang-Lee edge singularities from extended activity expansions of the dimer density for bipartite lattices of dimensionality 2 <= d <= 7

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arxiv 1206.0872 v1 pith:VNXZR3QG submitted 2012-06-05 cond-mat.stat-mech hep-lat

Yang-Lee edge singularities from extended activity expansions of the dimer density for bipartite lattices of dimensionality 2 <= d <= 7

Paolo Butera (Dipartimento di Fisica Universita' di Milano-Bicocca , Istituto Nazionale di Fisica Nucleare Sezione di Milano-Bicocca) , Mario Pernici (Istituto Nazionale di Fisica Nucleare Sezione di Milano) This is my paper
classification cond-mat.stat-mech hep-lat
keywords dimerestimateslatticesseriesactivitybipartitedensitydimensionalities
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We have extended, in most cases through 24th order, the series expansions of the dimer density in powers of the activity in the case of bipartite ((hyper)-simple-cubic and (hyper)-body-centered-cubic) lattices of dimensionalities 2<= d <= 7. A numerical analysis of these data yields estimates of the exponents characterizing the Yang-Lee edge-singularities for lattice ferromagnetic spin-models as d varies between the lower and the upper critical dimensionalities. Our results are consistent with, but more extensive and sometimes more accurate than those obtained from the existing dimer series or from the estimates of related exponents for lattice animals, branched polymers and fluids. We mention also that it is possible to obtain estimates of the dimer constants from our series for the various lattices.

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